A057899 Smallest positive integer such that n=a(n)^k-k with k a positive integer.

2, 2, 4, 5, 2, 7, 3, 9, 10, 11, 12, 2, 14, 4, 16, 17, 18, 19, 20, 21, 22, 23, 5, 3, 26, 27, 2, 29, 30, 31, 32, 33, 34, 6, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 7, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 2, 60, 61, 4, 8, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76

Offset: 1

Author

Henry Bottomley, Sep 26 2000

Keywords

• nonn

Comments

It may be that positive integers can be written as n=m^k-k (with m and k > 1) in at most one way [checked up to 10000] as well as with k=1 and m=n+1.

Examples

			a(5)=2 since 5=2^3-3
		

Crossrefs

Cf. A057897, A057898.

Formula

a(n) = (n+A057898(n))^(1/A057898(n)).